I had a husband who refused to make the appointment for the Get as agreed in the Civil Divorce (I represented the wife) I hauled him back before the divorce judge on a contempt motion. The judge told him that if the terms of the divorce were not complied with the now ex-husband would be held in contempt, fined and jailed. The judge did not consider this a religious issue which could violate First Amendment rights, but a contract issue. The Get was just one required step for which there had been an offer, acceptance and consideration making the contract biinding on the parties. The appointment for a Get was made within 48 hours and one issued in 10 days.
CTL: I pray this wife who was your client didn’t remarry and certainly didn’t have more children. As the scenario you just described unquestionably, lchol hadeios, constitutes a Get Me’usa, an invalid Get under Halacha as clearly described in Shulchan Aruch. Leaving her remaining married to her first husband. As such and future offspring are illegitimate in the eyes of Jewish Law.